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2472403968328 = 237257171790159
BaseRepresentation
bin100011111110100110110…
…000101010000101001000
322202100201002020220102111
4203332212300222011020
5311001440403441303
65131450125312104
7343424321660530
oct43764660520510
98670632226374
102472403968328
118735a4648238
1233b203105634
1314c1ba395008
1487944a3c4c0
15444a6093b6d
hex23fa6c2a148

2472403968328 has 32 divisors (see below), whose sum is σ = 5318623353600. Its totient is φ = 1055478730752.

The previous prime is 2472403968259. The next prime is 2472403968329. The reversal of 2472403968328 is 8238693042742.

It is a happy number.

It is a super-2 number, since 2×24724039683282 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2472403968329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85880688 + ... + 85909471.

It is an arithmetic number, because the mean of its divisors is an integer number (166206979800).

Almost surely, 22472403968328 is an apocalyptic number.

2472403968328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2472403968328 is an abundant number, since it is smaller than the sum of its proper divisors (2846219385272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2472403968328 is a wasteful number, since it uses less digits than its factorization.

2472403968328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171790429 (or 171790425 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 58.

The spelling of 2472403968328 in words is "two trillion, four hundred seventy-two billion, four hundred three million, nine hundred sixty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 257 514 1028 1799 2056 3598 7196 14392 171790159 343580318 687160636 1202531113 1374321272 2405062226 4810124452 9620248904 44150070863 88300141726 176600283452 309050496041 353200566904 618100992082 1236201984164 2472403968328